Domain-Range Graphing f(x) Notation Calculating Slope

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Domain-Range f(x) Notation

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Domain-Range Graphing f(x) Notation Calculating Slope Functions Domain-Range Graphing f(x) Notation Calculating Slope

Domain-Range The collection of all input values is called the “Domain”. Most likely will be the x-values. The collection of all output values is called the “Range”. Most likely will be the y-values. A relation is a function if and only if each input corresponds to one output.

Identify the Domain & Range Is the relation a function?

Identify the Domain & Range Is the relation a function?

Identify the Domain & Range Is the relation a function?

Graphing Using Input-Output Tables Take each input-value and plug it in. Plot the point. Graph the line. y x 10 -8 -4 2 6 -10 -2 8 -6 4 2(0)+1 = 1 5 7

You Try One! y x 10 -8 -4 2 6 -10 -2 8 -6 4 10 4 -6

Try Another One! y x 10 -8 -4 2 6 -10 -2 8 -6 4 -3 1 5 9

f(x) Notation Plug in. Evaluate.

You Try Some!

Calculating Slope (2, 5) and (-1, -4) (-6, 7) and (6, 3) Positive Rises (2, 5) and (-1, -4) (-6, 7) and (6, 3) (2, 1) and (4, 1) (4, 3) and (4, 8) m = 3 Negative Falls m = -1/3 Zero Horizontal m = 0 Undefined Vertical m is undefined

Parallel vs. Perpendicular Parallel Lines have the same slope different y-intercepts. Perpendicular lines have opposite-reciprocal slopes.

Tonight’s HW 2.1 #20-38Even 2.2 #20-30Even, 32-35, 41-44 Have fun 